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Finding the Third Proportional to 139,000 and 305,065

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Solution

The third proportional to 139,000 and 305,065 is: 669,529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,000 : 305,065 = 305,065 : x
  2. Step 2: Convert to fraction form
    139,000/305,065 = 305,065/x
  3. Step 3: Cross multiply
    139,000x = 305,065 × 305,065
  4. Step 4: Simplify right side
    139,000x = 93,064,654,225
  5. Step 5: Solve for x
    x = 93,064,654,225/139,000
  6. Step 6: Final answer
    x = 669,529.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.